Search a number
-
+
215634302513312 = 25416120531312397
BaseRepresentation
bin110001000001111001000110…
…000000001011000010100000
31001021111102211022001201101012
4301001321012000023002200
5211230423022420411222
62042341010411200052
763264031015102604
oct6101710600130240
91037442738051335
10215634302513312
1162786aa3215381
1220227457746028
1393422c59c03c7
143b36a823a7504
1519de222c791e2
hexc41e4600b0a0

215634302513312 has 96 divisors (see below), whose sum is σ = 442229315293584. Its totient is φ = 103412605132800.

The previous prime is 215634302513263. The next prime is 215634302513341. The reversal of 215634302513312 is 213315203436512.

It can be written as a sum of positive squares in 8 ways, for example, as 35352014411536 + 180282288101776 = 5945756^2 + 13426924^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 215634302513312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163649498 + ... + 164961894.

Almost surely, 2215634302513312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215634302513312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221114657646792).

215634302513312 is an abundant number, since it is smaller than the sum of its proper divisors (226595012780272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

215634302513312 is a wasteful number, since it uses less digits than its factorization.

215634302513312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314562 (or 1314554 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

Adding to 215634302513312 its reverse (213315203436512), we get a palindrome (428949505949824).

The spelling of 215634302513312 in words is "two hundred fifteen trillion, six hundred thirty-four billion, three hundred two million, five hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 61 82 122 164 244 328 488 656 976 1312 1952 2053 2501 4106 5002 8212 10004 16424 20008 32848 40016 65696 80032 84173 125233 168346 250466 336692 500932 673384 1001864 1312397 1346768 2003728 2624794 2693536 4007456 5134553 5249588 10269106 10499176 20538212 20998352 41076424 41996704 53808277 80056217 82152848 107616554 160112434 164305696 215233108 320224868 430466216 640449736 860932432 1280899472 1721864864 2561798944 2694351041 3282304897 5388702082 6564609794 10777404164 13129219588 21554808328 26258439176 43109616656 52516878352 86219233312 105033756704 110468392681 164355413501 220936785362 328710827002 441873570724 657421654004 883747141448 1314843308008 1767494282896 2629686616016 3534988565792 5259373232032 6738571953541 13477143907082 26954287814164 53908575628328 107817151256656 215634302513312